


i need help with all of these [55 pts) Find the following limits analytically (that is...
find the limits analytically, show all steps
x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
4pts each] 9. Find the limit of the following if the limits exist. If not, explain x -3x+2 1) lim +4 r-1 11) lim 111) lim + 3x + 4 iv) lim :-*x-4 v) If 2x-15g(x)=x-2x+3, find limg(x)
i need help with number 55 . I keep coming up with the wrong
answer. this would be helpful to me. Thank you
49. (3x+ (2x2) 50. (x - 1)1/3(x - 1)-1/4 P.3 In Exercises 51-54, write the polynomial in standard form. Identify the degree and leading coefficient. 51. 3 - 11x2 53. - 4 - 12.x2 52. 3x3 - 5/5 + - 4 54. 12x - 7x2 + 6 sin In Exercises 55-58, perform the operation and write the...
2. For the function f(x)= (2x² – 3, x>2 19-2x, x<2 find the limits or explain why they do not exist. (a) lim f(x) 1-2+ (b) lim f(x) (e) lim f(x) X2
Section 2.6 Homework (continued) D. Determine the end behavior of the following function. (Do this algebraically.) $ 16x8 – 12x2 f(x) = 1- 7x² + 5x 70 + 2X-8 C. Find the limit or show that it does not exist. (a.) lim n sin²x " (Hint: Use squeeze theorem) X x²+1 (b.) lim cot?(-Inx) (Do this analytically.) X-> Section 2.6 Homework (continued) E. Find the following limits if they exist. Explain. (Do this analytically (a.) lim cot' (In 10 -...
5. (8 points each) Find the limits: V3x2-6 (a) lim X-00 2x -9X (b) lim x=0x2-sinx COS X (c) lim x X- 2 2
2. Find the limits of the following functions if they exist. Show all necessary work. If the limit is co or -00, then state this rather than that it does not exist: (2 points each) a. lim x+3 V6x-2-4 x-3 b. lim arctan(3x) x sin(x) 3. Find the average value of the function f(x) = 4x2 + 8x -1 on (-1, 3).
need asap
se the properties of limits to help decide whether the limit exists. If the limit exists, find its value. 7) lim+12xs+27 x-+-9x+9 A) 216 B) 12 C) Does not existD)-6 ifferentiate. 8)f(x) =4x4-7x3-3 8) , A) f'(x) = 16x3-21x2-7 C) f(x) = 4x3 + 3x2 B) Px)-4x3 3x2-7 D) f(x) 16x3 -21x2 9) y (2 2 9) dy )4.6x5 + 20x3 + 24x B)-=6x5 + 24x3 + 24x c a24x3+24x = 6x5 +12x3 +12x D) dx 10) 10)...
12 lim f(x), and lim f(x) Use oo or - co when appropriate ra x-a Find all vertical asymptotes, x= a, of the following function For each value of a, evaluate lim f(x) x-a x2 - 10x +21 f(x) = x2 - 7x + 12 Select the correct choice below, and fill in the answer box if necessary OA The vertical asymptote is x = The limits at this vertical asymptote are lim f(x)= xa lim f(x) xa and tim...